4760107242289 has 9 divisors (see below), whose sum is σ = 5537285374251. Its totient is φ = 4080078831360.

The previous prime is 4760107242269. The next prime is 4760107242329. The reversal of 4760107242289 is 9822427010674.

The square root of 4760107242289 is 2181767.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 25653467889 + 4734453774400 = 160167^2 + 2175880^2 .

It is not a de Polignac number, because 4760107242289 - 2⁵ = 4760107242257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4760107242259) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15116529 + ... + 15428209.

Almost surely, 2^{4760107242289} is an apocalyptic number.

4760107242289 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

4760107242289 is the 2181767-th square number.

4760107242289 is the 1090884-th centered octagonal number.

It is an amenable number.

4760107242289 is a deficient number, since it is larger than the sum of its proper divisors (777178131962).

4760107242289 is an frugal number, since it uses more digits than its factorization.

4760107242289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623376 (or 311688 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 52.

The spelling of 4760107242289 in words is "four trillion, seven hundred sixty billion, one hundred seven million, two hundred forty-two thousand, two hundred eighty-nine".